"As we approach 29 May, I call upon all sides to exercise maximum restraint and make wise decisions to avoid another violent conflict that will only claim more lives. The message of the international community is clear to avoid such an escalation," Wennesland said in a statement.
Meanwhile, the Hamas movement urged Palestinians to join demonstrations to protect Jerusalem and the Al-Aqsa Mosque.
Israel's national holiday known as Jerusalem Day marks the spread of Israeli sovereignty over the city's eastern part following the 1967 Six-Day War. It will be celebrated on Sunday with a flag march in Jerusalem.